Monte Carlo methods in finance | Financial models
The Brownian motion models for financial markets are based on the work of Robert C. Merton and Paul A. Samuelson, as extensions to the one-period market models of Harold Markowitz and William F. Sharpe, and are concerned with defining the concepts of financial assets and markets, portfolios, gains and wealth in terms of continuous-time stochastic processes. Under this model, these assets have continuous prices evolving continuously in time and are driven by Brownian motion processes. This model requires an assumption of perfectly divisible assets and a frictionless market (i.e. that no transaction costs occur either for buying or selling). Another assumption is that asset prices have no jumps, that is there are no surprises in the market. This last assumption is removed in jump diffusion models. (Wikipedia).
Financial Markets (ECON 252) The stock market is the information center for the corporate sector. It represents individuals' ownership in publicly-held corporations. Although corporations have a variety of stakeholders, the shareholders of a for-profit corporation are central since the
From playlist Financial Markets (2008) with Robert Shiller
2. Utilities, Endowments, and Equilibrium
Financial Theory (ECON 251) This lecture explains what an economic model is, and why it allows for counterfactual reasoning and often yields paradoxical conclusions. Typically, equilibrium is defined as the solution to a system of simultaneous equations. The most important economic mode
From playlist Financial Theory with John Geanakoplos
16. The Evolution and Perfection of Monetary Policy
Financial Markets (ECON 252) Central Banks, originally created as bankers' banks, implement monetary policy using their leverage over the supply of money and credit standards. Since the Bank of England was founded in 1694, through the gold standard which lasted until the 1930s, and into
From playlist Financial Markets (2008) with Robert Shiller
10. Debt Markets: Term Structure
Financial Markets (ECON 252) The markets for debt, both public and private far exceed the entire stock market in value and importance. The U.S. Treasury issues debt of various maturities through auctions, which are open only to authorized buyers. Corporations issue debt with investment
From playlist Financial Markets (2008) with Robert Shiller
13. Banking: Successes and Failures
Financial Markets (ECON 252) Banks, which were first created in primitive form by goldsmiths hundreds of years ago, have evolved into central economic institutions that manage the allocation of resources, channel information about productive activities, and offer the public convenient i
From playlist Financial Markets (2008) with Robert Shiller
Stock Market Predictions : Python for Finance 10
In previous videos we made a wonderful investment portfolio and now we will use regression analysis to make stock market predictions about the future performance of our portfolio. I’ll be using the ARIMA model for making stock market predictions in this video. It focuses on trying to fit
From playlist Python for Finance
Pricing Options using Black Scholes Merton
These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/ Follow Patrick on twitter here: https://twitter.com/PatrickEBoyle The Black–Scholes or Black–Scho
From playlist Class 3: Pricing Financial Options
7. Behavioral Finance: The Role of Psychology
Financial Markets (ECON 252) Behavioral Finance is a relatively recent revolution in finance that applies insights from all of the social sciences to finance. New decision-making models incorporate psychology and sociology, among other disciplines, to explain economic and financial phen
From playlist Financial Markets (2008) with Robert Shiller
Fin Math L5-2: A simple exchange rate model
In this second part of Lesson 5, we consider a simple exchange rate model, which allows us to see the Cameron-Martin theorem in action. The model also introduces a particular version of the exponential martingale that will be essential for us later. I ask you to spend some time reasoning a
From playlist Financial Mathematics
FinMath L3-1: The Ito-Doeblin formula and the basics of math finance
Welcome to Lesson 3 of Financial Mathematics (Part 1). In this lesson we conclude our introductory discussion on the Ito integral, by addressing the (heuristics of the) Ito-Doeblin formula. Such a result will be very useful for us in the rest of the course. We then introduce important conc
From playlist Financial Mathematics
Financial Markets (ECON 252) Options introduce an essential nonlineary into portfolio management. They are contracts between buyers and writers, who agree on exercise prices and dates at which the buyer can buy or sell the underlying (such as a stock). Options are priced based on the pr
From playlist Financial Markets (2008) with Robert Shiller
Fin Math L8-1: The EU Call in the Bachelier Model
Welcome to Financial Mathematics. In the 8th lesson we consider different topics. In this first video we look at the value of a EU call, when we change the underlying stochastic process. In particular, we will consider the case of the Bachelier model, in which the Geometric Brownian motio
From playlist Financial Mathematics
Fin Math L4-2: The two fundamental theorems of asset pricing and the exponential martingale
Welcome to the second part of Lesson 4 of Financial Mathematics. In this video we discuss the two fundamental theorems of asset pricing and we introduce the exponential martingale, an essential tool that we will use as the Radon-Nikodym derivative to move from P to Q in the Cameron-Martin
From playlist Financial Mathematics
Financial Options Pricing History. How do Investors Price Options?
Financial Options Pricing History. Today we will learn How do Investors Price Options? These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/ Follow Patri
From playlist Class 2: An Introduction to Options
Fin Math L6-2: Pricing a EU call and Historical Volatility.
Welcome to the second part of Lesson 6 of Financial Mathematics. $How can we price a European call, now that we known the Black-Scholes-Merton theorem? What can we say about σ, i.e. volatility? Topics: 00:00 Pricing a EU call 12:28 Volatility in the BSM framework 15:06 Historical volatil
From playlist Financial Mathematics
Fin Math L5-1: The Cameron-Martin theorem
Welcome to the first part of Lesson 5 of Financial Mathematics. The topic of this video is the important Cameron-Martin theorem, which represents a special case of Girsanov's one. The theorem tell us how to connect a standard Brownian motion and a Brownian motion with drift. Topics: 00:0
From playlist Financial Mathematics
Options (Lecture 2) by Shashi Jain
Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f
From playlist Summer Research Program On Dynamics Of Complex Systems 2019
Financial Option Theory with Mathematica -- Basics of SDEs and Option Pricing
This is my first session of my Financial Option Theory with Mathematica track. I provide an introduction to financial options, develop the relevant SDEs (stochastic differential equations), and then apply them to stock price processes and the pricing of (European) options. You can downloa
From playlist Financial Options Theory with Mathematica
Financial Theory (ECON 251) Our understanding of the economy will be more tangible and vivid if we can in principle explain all the economic decisions of every agent in the economy. This lecture demonstrates, with two examples, how the theory lets us calculate equilibrium prices and all
From playlist Financial Theory with John Geanakoplos